414331233440 has 192 divisors, whose sum is σ = 1036281641472. Its totient is φ = 156355584000.

The previous prime is 414331233427. The next prime is 414331233451. The reversal of 414331233440 is 44332133414.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 414331233397 and 414331233406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28482809 + ... + 28497351.

It is an arithmetic number, because the mean of its divisors is an integer number (5397300216).

Almost surely, 2^414331233440 is an apocalyptic number.

414331233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414331233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518140820736).

414331233440 is an abundant number, since it is smaller than the sum of its proper divisors (621950408032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414331233440 is a wasteful number, since it uses less digits than its factorization.

414331233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 414331233440 its reverse (44332133414), we get a palindrome (458663366854).

The spelling of 414331233440 in words is "four hundred fourteen billion, three hundred thirty-one million, two hundred thirty-three thousand, four hundred forty".